CBSE Class 5 Mathematics Far and Near Worksheet Set 02

True or False

Question. 250 cm is greater than 2 km.
Answer: False
Explanation: 2 km equals 2,000 metres (200,000 cm), which is much longer than 250 cm.

Question. 1 kilometre is equivalent to 1,000 metres.
Answer: True
Explanation: 'Kilo' means one thousand, so 1 kilometre contains exactly 1,000 metres.

Question. 10 millimetres form 1 centimetre.
Answer: True
Explanation: The ten small line spaces between centimetre marks on a ruler make 1 centimetre.

Question. 450 mm matches 45 cm.
Answer: True
Explanation: Since 10 millimetres make 1 centimetre, 450 mm divided by 10 gives 45 cm.

Question. 1 metre is identical to 100 centimetres.
Answer: True
Explanation: 100 centimetres joined together measure exactly 1 metre in length.

Fill in the Blanks

Question. 7 km equals ______ m
Answer: 7,000 m
Explanation: Multiply 7 by 1,000 because each kilometre contains 1,000 metres.

Question. Deduct: 5 m 80 cm – 2 m 40 cm = ______
Answer: 3 m 40 cm
Explanation: Subtract metres from metres (5 – 2 = 3 m) and centimetres from centimetres (80 – 40 = 40 cm).

Question. 1 metre equals ______ centimetres
Answer: 100
Explanation: There are 100 centimetres in one full metre.

Question. 450 mm equals ______ cm
Answer: 45 cm
Explanation: Divide 450 by 10 because every 10 millimetres make 1 centimetre.

Question. 10 mm equals ______ cm
Answer: 1
Explanation: 10 tiny millimetres make up 1 centimetre on your ruler.

Question. Sum: 2 m 45 cm + 3 m 65 cm = ______
Answer: 6 m 10 cm
Explanation: 2 m + 3 m = 5 m, and 45 cm + 65 cm = 110 cm (which is 1 m 10 cm). Adding them gives 6 m 10 cm.

Question. 1 kilometre contains ______ metres
Answer: 1000
Explanation: One kilometre has exactly 1,000 metres.

Question. 3500 m equals ______ km ______ m
Answer: 3 km 500 m
Explanation: 3,000 metres make 3 kilometres, leaving 500 metres remaining.

Question. 1 centimetre equals ______ millimetres
Answer: 10
Explanation: Each centimetre is divided into 10 smaller millimetres.

Question. Compute: 8 km 500 m – 3 km 250 m = ______
Answer: 5 km 250 m
Explanation: Subtract the kilometres (8 – 3 = 5 km) and subtract the metres (500 – 250 = 250 m).

Question. Convert: 135 cm equals ______ m ______ cm
Answer: 1 m 35 cm
Explanation: 100 cm makes 1 metre, leaving 35 cm left over.

Question. 1000 m equals ______ km
Answer: 1
Explanation: 1,000 metres combine to make 1 kilometre.

Question. 4 m equals ______ cm
Answer: 400 cm
Explanation: Multiply 4 by 100 because 1 metre has 100 centimetres.

Question. 1200 mm equals ______ cm
Answer: 120 cm
Explanation: Divide 1,200 by 10 to convert millimetres into centimetres.

Question. 1 metre makes ______ millimetres
Answer: 1000
Explanation: 1 metre is 100 cm, and each cm is 10 mm, so 100 × 10 = 1,000 mm.

Question. Calculate: 4 km 350 m + 3 km 650 m = ______
Answer: 8 km
Explanation: 4 km + 3 km = 7 km, and 350 m + 650 m = 1,000 m (1 km). 7 km + 1 km = 8 km.

Question. 625 cm equals ______ m ______ cm
Answer: 6 m 25 cm
Explanation: 600 cm equals 6 metres, and 25 cm is left over.

Question. 2 m 35 cm equals ______ cm
Answer: 235 cm
Explanation: 2 metres is 200 cm. Adding 35 cm gives 235 cm.

Questions / Short Question Answers

Question. Rohan strolled 2 km 300 m from his house to the park. Then he walked 1 km 200 m to his friend’s house. (1) What total distance did he walk? (2) Convert it into metres.
Answer: (1) 3 km 500 m; (2) 3,500 m
Explanation: Add the distances: 2 km 300 m + 1 km 200 m = 3 km 500 m. Since 3 km is 3,000 m, the total is 3,500 m.

Question. Which of these is the greatest distance? (a) 250 cm (b) 25 m (c) 2500 mm (d) 2 km
Answer: (d) 2 km
Explanation: 2 km is 2,000 metres, which is much longer than 250 cm (2.5 m), 25 m, or 2,500 mm (2.5 m).

Question. Ravi travelled from his home to school which is 2 km away. After school, he went to a shop that was 500 m away. (1) How much total distance did he travel? (2) Convert this total distance into metres.
Answer: (1) 2 km 500 m; (2) 2,500 m
Explanation: 2 km plus 500 m gives 2 km 500 m. Since 2 km is 2,000 m, adding 500 m makes 2,500 m.

Question. A goods train travels 15 km 300 m in the morning. In the evening, it covers 6 km 825 m less than the morning distance. (1) How much distance did the train cover in the evening? (2) Convert this distance into metres.
Answer: (1) 8 km 475 m; (2) 8,475 m
Explanation: Subtract 6 km 825 m from 15 km 300 m: borrow 1 km to get 14 km 1300 m – 6 km 825 m = 8 km 475 m (8,475 m).

Question. 1 metre contains ______ centimetres: (a) 10 (b) 100 (c) 1000 (d) 10,000
Answer: (b) 100
Explanation: There are exactly 100 centimetres in one metre.

Question. A cord is 5 m long. If 2 m 25 cm of it is used to tie a package, how much rope is left?
Answer: 2 m 75 cm
Explanation: Write 5 m as 4 m 100 cm and subtract 2 m 25 cm: 4 m – 2 m = 2 m, and 100 cm – 25 cm = 75 cm.

Question. 75 m 23 cm equals ______ cm: (a) 7523 (b) 7500 (c) 2375 cm (d) 23 m
Answer: (a) 7523
Explanation: 75 m equals 7,500 cm. Add 23 cm to get 7,523 cm.

Question. A train travels from Station A to Station B covering 7 km 350 m. Then it continues to Station C, 4 km 650 m further. (1) What is the total distance covered by the train? (2) Convert it into metres.
Answer: (1) 12 km; (2) 12,000 m
Explanation: 7 km + 4 km = 11 km, and 350 m + 650 m = 1,000 m = 1 km. 11 km + 1 km = 12 km, which is 12,000 m.

Question. A road is 8 km 450 m long. Out of this, 3 km 725 m is fixed. How much road is still to be repaired?
Answer: 4 km 725 m
Explanation: Borrow 1 km (1,000 m) to subtract: 7 km 1450 m – 3 km 725 m = 4 km 725 m.

Question. 1 kilometre holds ______ metres: (a) 100 (b) 500 (c) 1000 (d) 10
Answer: (c) 1000
Explanation: 1 kilometre is equal to 1,000 metres.

Question. Draw the following line segments: 1. 6.5 cm 2. 4.5 cm 3. 3.5 cm (Use your ruler carefully and label each line segment.)
Answer: Line segment AB = 6.5 cm, CD = 4.5 cm, and EF = 3.5 cm.
Explanation: Align the start of your line with the 0 mark on your ruler and draw straight to the exact measurement.

Question. 5 km equals ______ m: (a) 50 (b) 500 (c) 5000 (d) 50
Answer: (c) 5000
Explanation: Multiply 5 by 1,000 because 1 km = 1,000 m: 5 × 1,000 = 5,000 m.